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6151.

SCHOOL OF EXCELLENCE 2017Mathematics. If cost price of an article is 50% of itsselling price then there is a profit of ?60. What is the selling price of article.

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Let selling price be x Cost price will be (50x/100)=x/2Profit=60Profit=SP-CP.60=x-x/260=2x-x/260*2=xx=120

Selling price is 120Rs

6152.

1. Selling Price - Cost Price

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selling price - cost price = loss

6153.

By selling 125 cassettes, a man gains an amount equal to the selling priceFind the gain per cent.o the selling price of 5 cassettes,

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25/6% is the answer of the following

6154.

1. Cost price 1600, selling price2800

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6155.

Mailingth of its usual speed, a train is 10 minutes late. Find the usual time inminutes late. Find the usual time to cover the yume(A) 60 minutes(C) 40 minutes(B) 50 minutes(D) 30 minutes

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Let usual speed = vLet total distance covered = Let usual time taken to cover journey = t

We know, Distance = speed * time

Then, As per given conditionv*t = (5v/6)*(t + 10)6t = 5t + 506t - 5t = 50t = 50 minutes

(B) is correct option

6156.

If a train runs at 40 kmph it reaches its destination late by 11 minutes. But if it runs at50 kmph it is late by 5 minutes only. Find the distance to be covered by the train.

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Let the correct time to complete the journey be x min.Distance covered in (x + 11)min.= Distance covered in (x + 5) min at 50 km/hr∴(x+11)60* 40=(x+5)60* 50=x = 19 min.

asking kilometres

6157.

(e)What % of 5.6 m is 560 cm ?

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5.6m=560cmhence100%of 5.6m is 560cm

Thank u

6158.

32 m, 36 m and 560 cm

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firstly change cm into mthen add them.560cm=5.6m32+36+5.6=73.6

6159.

3. For each sequence, find (i) general rule (ii) nth term (ii) 100th term:

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a) 5nb) 4nc) 12nd) 4n-3

6160.

2.Find the sum of the indicated number of terms in each of the following arithmetic progressions:(1) 2, 4, 6, 8.. 100 terms(iii) , ,81 terms(ii)-05,-10,-15,; 10 terms.(iv) 0-6, 1.7, 2.8,. to 100 terms.4 2

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6161.

How bad would a personbe if an elevator's cables snappedat the 100th floor so that theelevator fell to the bottom?s injuries

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Elevator's cables almost never snap. And if a cable did snap, there are backup cables attached. Even if all the cables snapped, an elevator still would not fall to the bottom floor. Elevators have a passive, automatic, built-in braking system. The brakes require no electricity, no remote control, and no human operator. These brakes lock in place whenever the elevator starts to fall faster than an allowed amount. The brakes are passive in the sense that it takes no energy, computer, or external agent to turn them on. They still work if the power goes out or if no one is paying attention. This is possible because the brakes are simple mechanical devices. It is the initial falling motion of the elevator itself that engages the brakes. Way back in 1852 Elisha Otis invented this automatic braking system, as documented in the book "Otis: Giving Rise to the Modern City" by Jason Goodwin. His safety elevator has been in use ever since. If you were to be on an elevator where all the cables snapped, you would not feel much. The elevator would only fall a few feet and then stop. This is such a small amount that you wouldn't even think that you had been falling in the first place. You would think simply that a door had jammed or a motor had hiccupped. You may well ask: what would happen if all the cables snapped and the automatic brakes failed. Then, yes, the elevator would fall to the bottom floor. But in order to fail completely, the brakes have to be physically damaged by a significant accident, such as a colliding airplane. In that case, you have more to worry about than your elevator.

6162.

. For what value of ng are the nth terms of two APs: 63, 65,67,and 3. 10. 17... cqual?

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6163.

35. The sum of firstn terms of two APs are in the ratio (3n+ 8):(7n+15).CBSE215Find the ratio of their 12th terms.

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Wrong ans is 7:16

convert to its lowest terms.You will get 7:16 (on dividing neumerator and denominator by 11)

6164.

Thesum of first n terms of two APs are in the ratio (3n +8):(7n+15)Find the ratio of their 12th terms.

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tnx

6165.

orn, are the nth terms of two APs: 63, ,Determine the AP whose third term is 16 and the 7th term eexceeds the 5th term by 12

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6166.

3)3-5.= 7 15 = 715(iv) 135. 175 = (13 x17)5 = 2215TXERCISE 1.6Find :(1) 642(1) 92Find :(ü) 325(1) 323(iv) 1253Simplify:6 23.2m(in)ELE(iv) 7.

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1)8 2)2 3)5 this is the answer

1)8 2) 2 3)5 is the correct answer of the given question

Find.1= 82=23=5

Find.1=272=43=84=1/5

6167.

Tngt 1O tErins.CBSE 2015)35. The sum of first n terms of two APs are in the ratio (3 +8):(7+15)017)Find the ratio of their 12th terms

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6168.

17.Two APs have the same common difference. The firaterm of one of these is -1 and that of the other is-What is the difference between their 4th terms?

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6169.

6. A tent is made in the form of a frustum of a cone surmounted byanother cone. The diameters of the base and the top of the frustum are20 m and 6 m respectively, and the height is d m. If the height of thetent is 28 m and the radius of the conical part is equal to the radius of theton of the frustuin, find the quantity of canvas required. Take π-22

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6170.

एक ट्राउजर के अंकित मूल्य पर 40% छूट के फलस्वरूप अजित ने320 रुपए मूल्य की एक कमीज भी क्रय कर ली। ट्राउजर के लिएअजित ने कितना भुगतान किया ?(A) 480 रु. (B)540 रु. (C) 800 रु. (D) 400 रु०

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6171.

a,Inthefigure,findthefouranglesA,B,C, D in the parallelogram ABCDDr(5a)A(4a)(6a)

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6172.

44. If a man travels at a speed of 30 km/hr, hereaches his destination 10 minutes late and ifhe travels at a speed of 42 km/hr, he reacheshis destination 10 minutes early. The distancetravelled is :

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Let.....x be required distance.x/s=t...........nowby 1 st condition...x/30=t+1/15...................................( 4 minutes=1/15 hours)and by second equationx/30=t-1/6from above equations,x/25 -1/15=x/30 +1/6sox=35 kmans is 35 km

Let the distance be x km.

Then, correct time at a speed of

30 km / h =x30x30-10601060

Correct time at a speed of 42 km /h

=x42x42+10601060

=>x30x30-10601060=x42x42+10601060

=>x30x30-x42x42=2626

=>x(12)1260x(12)1260=2626

=> 72 x = 1260××2

=> x =1260×2721260×272=> x = 35 km

6173.

7. In how much time will the interest on8 A sum af money lent800 at 12.5 % per annum be?125?

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SI = P*R*T/100125 = 800*12.5*T /100T = 125/8*12.5 = 10/8 = 5/4 = 1 year 3 months

T=125/8*12.5 pls show step to solve

Ans is 5/4 how it converts in 1 year 3 month

...

T = 125/(8*12.5) = (125/12.5)/8 = (1250/125)/8 = 10/8 = 5/4

5/4 means 1(1/4) yrs

6174.

If a scooterist drives at the rate of 24 km/hr from his1.place 5 minutes late. But if he drives at the rate of 30place 4 minutes early(a) Find the distance of his work place from his home.

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Assume that he starts travelling to his workplace at the same time every day

Let the distance between his work place and home be 'd'

Let the actual time be 'x'

Distance = Speed * Time

Convert minutes into seconds as the units should be in kmph

As 24 kmph speed resulted in 5 minutes late, it is taken as increment

d = 24(x + 5/60) ---------------(1)

As 30 kmph speed resulted in 4 minutes early, it is taken as decrement d = 30(x - 4/60) ----------------(2)

(1) and (2) are equal

=> 24(x + 5/60) = 30(x - 4/60)=> 24x+2 = 30x-2=> 30x - 24x = 2+2=> 6x = 4=> x = 2/3

Substitute the value of x in (1)=> d = 24(2/3 + 5/60)=> d = 24(9/12)=> d = 18 km

The required answer is 18 km

6175.

i5 oo43579Smaller than one crore11. What number must be subtracted from 11010101 to ge 2635967?12, The sum af

Answer»

11010101 - x = 2635967

x = 11010101 - 2635967

x = 8374134

I can't understand 😅

if U subtract 11010101 from 2635967U will get 8374134so,8374134 must be the number which when subtracted from 11010101 to get 2635967

6176.

14. Consider the following distribution of daily wages of 50 workers of a factoryDaily wages 100 120 120- 140 140-160 160- 180 180 200(in Rs.)Number ofWorkers121410Find the mean daily wages of the workers of the factory by using an appropriate method.

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6177.

( 5 ^ { - 7 } \times 6 ^ { - 5 } \div 3 ^ { - 5 } \times 10 ^ { - 5 } \times 5 ^ { 3 } )

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5^(-7)×6^(-5)/3^(-5) ×10^(-5)×5^3=5^(-7)×2^(-5)×2^(-5)×5^(-5)×5^3=2^(-10)×5^(-9)

6178.

E. Consider the following distribution of daily wages of 50 workers of a factory.Daily wages (int)Number of workers| 500-520 | 520-54012 14540-5608560 - 5806580-611 0Find the mean daily wages of the workers of the factory by using an appropriate m

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6179.

4)Write the division facts:12 x 560

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Here, 60 is the dividend.if 12 is the divisor, then 5 is the quotient.If 5 is the divisor, then 12 is the quotient.The remainder in each case is zero

6180.

2.Consider the following distribution of daily wages of 50 workers of a factory.To fiDaily wages (in Rs) 100-120 120-140 140-160 160-180 180-200Number of workerswas121410Find the mean daily wages of the workers of the factory by using an appropriate method.t 1ocalit

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6181.

2.Consider the following distribution of daily wages of 50 workers of a factoryDaily wages (in )100-120 120-140 140-160 160-180 180-200121410Number of workersFind the mean daily wages of the workers of the factory by using an appropriate method.

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6182.

2.Consider the following distribution of daily wages of 50 workers of a lactory.Daily wages (ln t) s00-320 5200 540 60 560-580 580-400Number of workers 121410

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6183.

Q. 2. Consider the following distribution of daily wages of 50 workers of a factory.MBD SAPHALTAKA SAOHA-120 | i 20-140 | 140-160 | 160-18 180-20012| 100Daily wages (in? )Number of workers1410Find the mean daily wages of the workers of the factory by using an appropriate method.Solution.

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6184.

2. Consider the followingdistributionofdallywagesO130Daily wages (in Rs) 100-120 120-140 140-160 160-180 180-200121410Number of workersFind the mean daily wages of the workers of the factory by using an appropriate method.

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6185.

293EXERCISE 144lowing distribution gives the daily income of 50 workers of a.factoryincome (in100-120 120-140 140-160 160-180 180-200ber of workers121410ert the distribution above to a less than type cumulatiye frequency distribution,aw its ogive.

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6186.

Q.6. Solve the following questions. (Any one(1) Prove that the difference between any two corresponding terms of even natural3 MarknmbeQ.2and odd natural number is 1.

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Consider a one- one mapping from even natural number to Odd natural number or one-one mapping from odd natural number to even natural number .

Domain= Set of Even Natural numbers={2,4,6,8,10,12,14,....}

Range =Set of Odd Natural numbers={1,3,5,7,9,11,13,....}

The One-One Onto function between two sets can be represented as

2 →1

4→3

6→5

8→7

10→9

12→11

.......

........

As you can see the difference between two corresponding terms of this one-one onto function is always : 2-1=4-3=6-5=8-7=10-9=....... is always 1.

6187.

O. 22) Two APs have the same common difference. The firsterm of one AP is 2 and that of the other is 7. Thedifference between their 10h terms idifference between their 21st terms, which idifference between any two corresponding terms is the same as thes same as theQ.23) Find the 11th term of the AP : (5a x), 6a, (7a x).

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6188.

20. Show that the products of thecorresponding terms of the sequencesa, ar.ar...ar1and A AR, AR

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6189.

rlthe sum of the products of the corresponding terms of the sequences 2, 4.8.16, 32 and 128, 32, 8, 2,2

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6190.

19. Find the sum of the products of the corresponding terms of the sequences 2, 4, 8.,16, 32 and 128, 32, 8,2,2

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6191.

(43) यदि किसी वस्तु को 10% लाभ तथा 15% के लाभ परक्रमशः बेचने पर अन्तर 20 रु० है, तो दोनों वि० मू०क्रमशः हैं-(1) 420 रु तथा 440 रु०(2) 440 रु तथा 460 रु.(3)460 रु० तथा 440रु.(4). 400 रु० तथा 420 रु०(5) इनमें से कोई नहीं [Clerk Grade, 1994]

Answer»

colume (2) correct answer for this question

option

b

right

answer

440 Rs and 460 Rs is the answer

option (b) is the right answer

6192.

are times the corresponding sides. State and prove Tholes. If the sum af the p terms of

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In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.

6193.

11. Write the first five terms of each of the followingsequences and obtain the corresponding series:(i a, 3, a 3+ 2 for all n> 1

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6194.

123+460=

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583

àaaaaaaaàaaaaaaaa

6195.

220*x=60*460

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220* x=460*60x=460*60/220x=138/11

X=125.45 is correct answer

125.45 is the right answer of the following

6196.

Convert 460 seconds into minutes and seconds.

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Total seconds= 460

1 sec = 1/60 min

Hence,460 sec = 460/60 = 7.66 minOr7 minutes 40 seconds

6197.

-JE.p(Ele 2𡈼:/o-then.LAlaatisthepabbabilit-tacougue n ce- 어 even.ft

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P(E)= 27/100Total probability of events areP(E)+P(E not)= 1P(E not)= 1- 27/100 = 73/100so not occurence probability is 73%

6198.

रया१ का प्रHिIV 82) 0 460 6गायटी ल0 -10 निका

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length=16 mbreath=25 m

please sir give me like

6199.

Draw a histogram to represent the above data.4. Draw a histogram to represent the following data which shows the monthly cost of1Sindex at a city in a period of two years.Cost of living index Number of months440-460460-480480-500500-520520-540540-560560-580580-6004

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6200.

The HCF of two numbers 460 and 232 is 4.Find their LCM.

Answer»

Product of two numbers=LCM×HCF460×232=4×LCMLCM=26680